2/6 Additive Inverse :
The additive inverse of 2/6 is -2/6.
This means that when we add 2/6 and -2/6, the result is zero:
2/6 + (-2/6) = 0
Additive Inverse of a Fraction
For fractions, the additive inverse is found by negating the numerator or denominator, but not both. In this case:
- Original fraction: 2/6
- Additive inverse: -2/6
To verify: 2/6 + (-2/6) = 0
Extended Mathematical Exploration of 2/6
Let's explore various mathematical operations and concepts related to 2/6 and its additive inverse -2/6.
Basic Operations and Properties
- Square of 2/6: 0.11111111111111
- Cube of 2/6: 0.037037037037037
- Square root of |2/6|: 0.57735026918963
- Reciprocal of 2/6: 3
- Double of 2/6: 0.66666666666667
- Half of 2/6: 0.16666666666667
- Absolute value of 2/6: 0.33333333333333
Trigonometric Functions
- Sine of 2/6: 0.32719469679615
- Cosine of 2/6: 0.94495694631474
- Tangent of 2/6: 0.34625354951058
Exponential and Logarithmic Functions
- e^2/6: 1.3956124250861
- Natural log of 2/6: -1.0986122886681
Floor and Ceiling Functions
- Floor of 2/6: 0
- Ceiling of 2/6: 1
Interesting Properties and Relationships
- The sum of 2/6 and its additive inverse (-2/6) is always 0.
- The product of 2/6 and its additive inverse is: -4
- The average of 2/6 and its additive inverse is always 0.
- The distance between 2/6 and its additive inverse on a number line is: 4
Applications in Algebra
Consider the equation: x + 2/6 = 0
The solution to this equation is x = -2/6, which is the additive inverse of 2/6.
Graphical Representation
On a coordinate plane:
- The point (2/6, 0) is reflected across the y-axis to (-2/6, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 2/6 and Its Additive Inverse
Consider the alternating series: 2/6 + (-2/6) + 2/6 + (-2/6) + ...
The sum of this series oscillates between 0 and 2/6, never converging unless 2/6 is 0.
In Number Theory
For integer values:
- If 2/6 is even, its additive inverse is also even.
- If 2/6 is odd, its additive inverse is also odd.
- The sum of the digits of 2/6 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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